%0 Journal Article %T ON AN INEQUALITY FOR THE MEDIANS OF A TRIANGLE %A JIAN LIU %J Journal of Science and Arts %D 2012 %I Bibliotheca Publishing House %X In this paper, we give two new simpler proofs of a sharp inequality for the medians of a triangle. We also establish two new inequalities by using this sharp inequality. Some related conjectures checked by the computer are put forward, which include two conjectures related to the famous Erd s-Mordell inequality. %K triangle %K median %K inequality %K Erd s-Mordell inequality %U http://www.icstm.ro/DOCS/josa/josa_2012_2/a_03_Liu_J.pdf